{
  "abstract": "This paper considers discrete and continuous semigroups of composition operators on the Fock space of several complex variables. For discrete semigroups generated by a single operator, the asymptotic behaviour is analysed. Strongly continuous semigroups are studied, and in particular it is shown that the classical Berkson-Porta theorem fails in this context. As an application, we show that any bounded composition operator is strongly reducible on the Fock space and that it is mean-ergodic.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26349",
  "author_total": 3,
  "authors": [
    {
      "name": "Frédéric Bayart"
    },
    {
      "name": "Maofa Wang"
    },
    {
      "name": "Xingxing Yao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5azvekktz8xf1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26349",
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  "id": "5azvekktz8xf1",
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  "landing_url": "https://hal.science/hal-05805315v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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  "pdf_url": "https://hal.science/hal-05805315/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5azvekktz8xf1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:59Z",
      "native_id": "hal-05805315",
      "source": "hal",
      "url": "https://hal.science/hal-05805315v1"
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      "native_id": "2610.26349",
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      "url": "https://arxiv.org/abs/2610.26349"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Semigroup of composition operators on the Fock space of several complex variables",
  "title_text": "Semigroup of composition operators on the Fock space of several complex variables",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5azvekktz8xf1",
  "venue": "HAL",
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}